464002105329 has 81 divisors (see below), whose sum is σ = 788424098553. Its totient is φ = 262193201424.

The previous prime is 464002105291. The next prime is 464002105331. The reversal of 464002105329 is 923501200464.

It is a happy number.

The square root of 464002105329 is 681177.

It is a perfect power (a square), and thus also a powerful number.

464002105329 is a `hidden beast` number, since 4 + 6 + 400 + 210 + 5 + 32 + 9 = 666.

It is not a de Polignac number, because 464002105329 - 2¹¹ = 464002103281 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 464002105293 and 464002105302.

It is not an unprimeable number, because it can be changed into a prime (464002105349) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2331668772 + ... + 2331668970.

Almost surely, 2^464002105329 is an apocalyptic number.

464002105329 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

464002105329 is the 681177-th square number.

464002105329 is the 340589-th centered octagonal number.

It is an amenable number.

464002105329 is a deficient number, since it is larger than the sum of its proper divisors (324421993224).

464002105329 is an equidigital number, since it uses as much as digits as its factorization.

464002105329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Multiplying 464002105329 by its sum of digits (36), we get a square (16704075791844 = 4087062²).

The spelling of 464002105329 in words is "four hundred sixty-four billion, two million, one hundred five thousand, three hundred twenty-nine".